Can a cubic function with real coefficients have two real zeros
and one complex zero? Explain.

Answer:

Step-by-step explanation:

What's missing from the original condition.

1000

1001

1002

=====

3003

So the answer is y - 3003

The values of p, q, and r are p = 2, q = 5, and r = 3, respectively.

Given that the lowest common multiple (LCM) of A and B is 2250, and the prime factorization of A is A = 2 × p × q¹, and the prime factorization of B is B = 2 × p² × q², we can compare the prime factorizations to determine the values of p, q, and r.

From the prime factorization of 2250 (2 × 3² × 5³), we can observe the following:

The prime factor 2 appears in both A and B.

The prime factor 3 appears in A.

The prime factor 5 appears in A.

Comparing this with the prime factorizations of A and B, we can deduce the following:

The prime factor p appears in both A and B, as it is present in the common factors 2 × p.

The prime factor q appears in both A and B, as it is present in the common factors q¹ × q² = q³.

From the above analysis, we can conclude:

p = 2

q = 5

r = 3.

For similar question on lowest common multiple.

https://brainly.com/question/16054958  

#SPJ8

The dimensions of the playground that maximize the total enclosed area is 100 feet.

Let,

L= length of entire playground

W = width of entire playground

Assume the dividing fence is parallel to the width.

Total fencing required

2L + 3W = 400

L= (400 − 3W)2

Area of entire playground,

A= L × W

= (400−3W)/2⋅W

= −3/2W^2 + 200W

Maximum area will occur at a point where the derivative of the area is equal to zero.

dA/dW = −3W+  200 = 0

W = 66 2/3

Substituting 91 1/3 for W in 2L + 3W = 400

gives

2L = 200

L = 100

Learn more about area here :-

https://brainly.com/question/27683633

#SPJ4

Answer:

57.3

Step-by-step explanation:

Hope this helps!

have a nice day :D

give brainliest if possible pls

Answer:

57,330

Step-by-step explanation:

95.61 percent of pig pregnancies are longer than 109 days with 0.8413 probability.

A standard normal distribution or z-table can be used to approximate the probability of multiple ranges of values for a random normal variable X with a particular mean and standard deviation. This method entails changing X to a typical normal variable Z.

The normal, random variable X equals the length of pregnancy.

The mean and standard deviation are then calculated.

u, Mean = 114 days

σ, Standard deviation = 5 days

Then, as follows, transform X to its standard normal variable:

Z = (X - u) ÷ σ

Z = (X - 114) ÷ 5

To determine the likelihood of a pregnancy lasting more than 109 days,

P(X ≤ 109) = P(Z ≤ 114 - 109 ÷ 5)

P(X ≤ 109) = P(Z ≤ 1)

P(Z ≤ 1) = 0.8413 when using a typical normal distribution or z-table.

The percentage of pig pregnancies that last more than 109 days,

P = (109 ÷ 114) × 100

P = 95.61%

Learn more about the probability at

https://brainly.com/question/13678923?referrer=searchResults

#SPJ4

False. if you are given a graph with two shif table lines, the correct answer will always require you to move both lines.

In a graph with two shiftable lines, the correct answer may or may not require moving both lines. It depends on the specific scenario and the desired outcome or conditions that need to be met.

When working with shiftable lines, shifting refers to changing the position of the lines on the graph by adjusting their slope or intercept. The purpose of shifting the lines is often to satisfy certain criteria or align them with specific points or patterns on the graph.

In some cases, achieving the desired outcome may only require shifting one of the lines. This can happen when one line already aligns with the desired points or pattern, and the other line can remain fixed. Moving both lines may not be necessary or could result in an undesired configuration.

However, there are also situations where both lines need to be shifted to achieve the desired result. This can occur when the relationship between the lines or the positioning of the lines relative to the graph requires adjustments to both lines.

Ultimately, the key is to carefully analyze the graph, understand the relationship between the lines, and identify the specific criteria or conditions that need to be met. This analysis will guide the decision of whether one or both lines should be shifted to obtain the correct answer.

Learn more about graph from

https://brainly.com/question/19040584

#SPJ11

The depth of water in tank A is modeled by a differentiable and increasing function h.

This means that the function h describes how the depth of water changes as time passes.

The fact that it is differentiable means that the function has a well-defined slope at every point, which indicates how quickly the depth is changing. This means that the function is continuous and smooth, with no sharp turns or corners.
Furthermore, the fact that the function is increasing means that the depth is always getting higher over time.

This makes sense since water is constantly being added to the tank.

Hence, the depth of water in tank A is described by a differentiable and increasing function h, which means that the function has a well-defined slope at every point and that the depth is always getting higher over time.

learn more about function click here:

https://brainly.com/question/11624077

#SPJ11

Answer:

2.57 or rounded to 1 sig digit just 3

The surface area of the rectangular prism with dimensions of 15 in, 9 in, 6 in, and 12 in is 666 square inches.

To find the surface area of these measurements, we need to use the formula for the surface area of a rectangular prism:

Surface area = 2lw + 2lh + 2wh

Plugging in the measurements we have:

Surface area = 2(15)(9) + 2(15)(6) + 2(9)(12)
Surface area = 270 + 180 + 216
Surface area = 666 square inches

Therefore, the surface area of the rectangular prism with dimensions of 15 in, 9 in, 6 in, and 12 in is 666 square inches.

Visit here to learn more about surface area brainly.com/question/29298005

#SPJ11

Answer:

x = 20

Step-by-step explanation:

If A || B, then ∠2 should equal to ∠3 (Alternate angles).

3x - 10 = x + 30

Isolate like terms.

3x - x = 30 + 10

Evaluate like terms.

2x = 40

Find x.

x = 40 ÷ 2

x = 20

Answer:

x = 20.

Angles 2 and 3 are measured as 50 degrees.

Step-by-step explanation:

Angles 2 and 3 are congruent, meaning that they are equal.

Set the two equations equal to each other and solve for x.

3x-10=x+30 (subtract x from the left side and add 10 to the right. This gets the x's and the plain numbers on the same side of the equation)

2x=40 (Divide by 2)

x = 20

Check your work by plugging in 20 for x in each expression. If the two expressions are equal when you do so, then you know you've worked out the problem correctly.

Angle 2:

3(20)-10

60 - 10 = 50

Angle 3:

20 + 30 = 50

Both expressions equal 50 when plugging in 20 for x, so this is the correct answer.

Setting x1 to zero in the equation 2x1 + 1x2 = 30 results in the value of x2 being 30.

The given equation is 2x1 + 1x2 = 30, where x1 and x2 represent variables. To find the value of x2 when x1 is set to zero, we substitute x1 with zero in the equation.

By replacing x1 with zero, we have 2(0) + 1x2 = 30. Simplifying further, we get 0 + 1x2 = 30, which simplifies to x2 = 30.

When x1 is set to zero, the equation reduces to a simple linear equation of the form 1x2 = 30. Therefore, the value of x2 in this scenario is 30.

Setting x1 to zero effectively eliminates the contribution of x1 in the equation, allowing us to focus solely on the value of x2. In this case, when x1 is removed from the equation, x2 becomes the sole variable responsible for fulfilling the equation's requirement of equaling 30. Thus, x2 is determined to be 30.

Learn more about zero here:

https://brainly.com/question/23961409

#SPJ11

An equivalent decimal, fraction and percent is C) 0.45, 4/5, 45%.

To understand why this is the correct choice, we need to look at how decimals, fractions, and percentages are related. Decimals are just another way of representing fractions, where the denominator is a power of 10. For example, 0.45 is the same as 45/100 or 9/20.

Percentages, on the other hand, are just a way of representing fractions with a denominator of 100. So, 45% is the same as 45/100 or 9/20.

The other options do not have equivalent representations of decimals, fractions, and percentages.

In conclusion, understanding the relationships between decimals, fractions, and percentages is essential to solving problems like these. The key is to remember that they are just different ways of representing the same value, and with a bit of practice, it becomes second nature to recognize equivalent representations.

Therefore, option C shows an equivalent decimal (0.45), fraction (4/5), and percent (45%).

To learn more about decimal here:

https://brainly.com/question/1736596

#SPJ4

Answer:

I’m pretty sure its 27

Step-by-step explanation:

Answer:

NANI its not 27 its 81 cause its 3x3x3x3

Step-by-step explanation:

The values are (4) The value of rise in temperature is 10 °C, (5) The new temperature is -10 °C (6) halfway between the two numbers in each pair is -2, 3, 1, -4; (7) The other temperature is 1°C.

Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers. The set of integers is frequently represented in mathematical notation by the boldface Z or blackboard bold math Z.

Given that,

Tom’s greenhouse temperature is increasing

(4) The temperature is increased from -5 °C to 5 °C

The temperature is raised by 10 °C

(5) The temperature this morning was -6 °C. This afternoon, the

temperature dropped by 4 degrees

The new temperature is -10 °C

(6) The integer that

is halfway between the two numbers in each pair below.

a. 1 and -5 is -2

b. 5 and 1 is 3

c. -3 and 5 is 1

d. -3 and -5 is -4

(7) The difference between two temperatures is 3 degrees.

One temperature is 2°C.

The other temperature is 1°C.

To know more about integers, visit:

https://brainly.com/question/15276410

#SPJ9

Answer:

Step-by-step explanation:

1.  4x = angle 4

x = angle 1

Angle 1 + angle 4 = 180

4x + x = 180

5x = 180

2. 55 = angle 2

angle 1 = 68

angle 3 = 55 + 68 = 123 = 180 - 123 = 57

Angle 4 = 57

Hope this helped,

kavitha

The Greek mathematicians started using the symbol pi (π) for as long as 4000 years in mathematical world.

A Short History of Pi

Even if we counted the number of seconds in those 4000 years and round the value of pi (π) to so many places, we would still only be estimating the true value of pi. Pi has been known for over 4000 years. Below is a quick summary of the discovery of.

By multiplying the radius of a circle by three, the ancient Babylonians determined its area, yielding the number pi = three. About 1900–1680 BC Babylonian tablets show a value of 3.125 for, which is a more accurate estimate.

The Rhind Papyrus, which dates to around 1650 BC, sheds light on ancient Egyptian mathematics. The calculation used by the Egyptians to determine a circle's area yielded a result that was around 3.1605 for.

Learn more about Symbol Pi (π):

https://brainly.com/question/16277677

#SPJ4

Answer:

1970

Step-by-step explanation:

Answer:

Fractional Expression for how much each person pays = (64.04/4)

Each person pays $16.01.

Step-by-step explanation:

Complete Question

Write an expression using fractions to show how to determine the amount that each person will pay. Then calculate each person's contributions showing all steps in long division.

The total of the bill is $64.04 and there are 4 people splitting the bill.

Solution

Total amount to be shared equally by 4 persons = $64.04

Fractional Expression for how much each person pays = (64.04/4)

Long division method to do this division.

     16.01  

4 | 64.04

      4  

    24

    24

      00

    0

    04

      4

    0

Each person pays $16.01.

Hope this Helps!!!

Answer:

I love algebra anyways

the ans is in the picture with the steps

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

The probability that a woman who gave birth at the hospital was both unmarried and over is 0.05.

Let's assume there were 100 women who gave birth at the hospital last year. We are given that % of them were over years old, which means 35 women were over years old. We are also given that % of them were unmarried, which means 20 women were unmarried. Since % of the women were over or unmarried (or both), it means there were 45 women who were either over or unmarried.

To find the probability that a woman was both unmarried and over, we divide the number of women who satisfy both conditions (i.e., unmarried and over) by the total number of women. Since we don't have the exact numbers, we assume that the events are independent, which means we multiply the probabilities of being unmarried and being over. Therefore, the probability is (20/100) * (35/100) = 0.05.

Hence, the probability that a woman who gave birth at the hospital was both unmarried and over is 0.05, or 5%.

Learn more about probability here:

https://brainly.com/question/31828911

#SPJ11

Answer:

The width of the door is 36 inches

Step-by-step explanation:

The given parameters are;

The given area of the door = 3024 in.²

The length of the door = 48 + The width of the door

Let W represent the width of the door

Therefore, we have;

The length of the door = 48 + W

The area of the door = The length of the door × The width of the door

∴ By substitution, the area of the door = 3024 = W × (48 + W)

3024 = W × (48 + W) = 48·W + W²

48·W + W² = 3024

∴ 48·W + W² - 3024 = 0

Rearranging, we get;

W² + 48·W - 3024 = 0

By trial and error, we have;

(W + 84)×(W - 36) = 0

Therefore, given that the width of the door is a natural number, we have;

The width of the door, W = 36 inches

Answer:

D

Step-by-step explanation:

Answer:

ik this is very late.

But the answer is Total energy = Kinetic Energy + Potential energy

Step-by-step explanation:

The two stores at points A and C would serve the residents of Miniville, providing them access to essential goods and services, with residents in the middle mile having the flexibility to choose between the two stores.

If one store is located at point A and the other store is located at point C, it means that the stores are located at the extremes of the 3-mile stretch of Lake Shore Drive in Miniville. Point B would be the midpoint between points A and C.

Given that the 300 residents of Miniville are evenly distributed along the 3 miles of shoreline on the lake, it implies that there are approximately 100 residents per mile.

Therefore, the store located at point A would serve the residents living in the westernmost mile of Lake Shore Drive, while the store located at point C would serve the residents living in the easternmost mile of Lake Shore Drive.

The residents living in the middle mile, between points A and C, would have the option to shop at either store, depending on their preference or convenience.

Learn more about flexibility here :-

https://brainly.com/question/33407990

#SPJ11

Public opinion data, such as opinion polls, benchmark or tracking polls, entrance and exit polls, can have a significant impact on elections and policy debates.

These polls use various sampling techniques to identify respondents and collect data through mass surveys or focus groups. Sampling errors can occur, but they are usually minimized through proper methodologies. The type and format of questions asked in these polls play a crucial role in shaping the outcomes.

Public opinion data serves as a summary of the collective views and preferences of a population, providing insights into the electorate's sentiment and informing political campaigns and policy debates. Opinion polls, conducted through random or stratified sampling techniques, aim to gauge public opinion on specific issues or candidate preferences. These polls help political parties and candidates understand the concerns and priorities of voters, enabling them to tailor their messages and policies accordingly.

Benchmark or tracking polls, on the other hand, provide longitudinal data by repeatedly surveying the same sample over time. This allows for the analysis of shifting opinions and trends, which can inform campaign strategies and messaging adjustments. Entrance and exit polls, commonly conducted during elections, offer immediate feedback on voters' choices and motivations. They help in understanding the voting patterns of different demographics and identifying key issues that influenced the outcome.

To ensure the reliability of the data, it is crucial to use appropriate sampling techniques that represent the target population accurately. Random sampling, where each individual has an equal chance of being selected, or stratified sampling, which divides the population into relevant groups for representation, are commonly employed methods. However, sampling errors can still occur due to various factors, including non-response bias or sampling bias.

The type and format of questions asked in these polls can significantly impact the results. Careful consideration should be given to the wording, order, and response options provided to minimize bias and capture nuanced opinions. Open-ended questions allow respondents to express their views more freely, while closed-ended questions with pre-determined response options provide standardized data for analysis. The choice of question format should align with the objectives of the poll and the specific information sought.

Overall, public opinion data derived from different types of polls, sampling techniques, respondent identification, and question formats plays a vital role in shaping elections and policy debates. It provides valuable insights into the preferences and concerns of the population, guiding political campaigns, informing policy decisions, and facilitating a more representative and responsive democratic process.

Learn more about sampling  visit:

brainly.com/question/31523301

#SPJ11

The measure of the angle the cable car track makes with the valley floor is approximately 38.7 degrees.

The slope or inclination of a line or surface is sometimes referred to as the grade in mathematics. The ratio of the vertical change (rise) to the horizontal change (run) between any two locations on a line or surface is what is meant by this term. Usually, the grade is given as a percentage or a fraction. In engineering, building, and transportation, grades are frequently used to define the slope of roads, railroads, and other infrastructure. The grade, which refers to how steep the slope is when referring to a cable car, is a crucial element in determining the safety and effectiveness of the system.

To find the angle we use the trigonometric functions:

tan(θ) = grade = rise/run

Given that, the grade of the incline is 78%, then grade = 0.78.

θ = arctan(0.78) ≈ 38.7 degrees.

Hence, the measure of the angle the cable car track makes with the valley floor is approximately 38.7 degrees.

Learn more about grade here:

https://brainly.com/question/29150359

#SPJ1

Answer:

ur screwed but the answer is 110.88

Step-by-step explanation:

:)

Answer:

Getting sum 6 when rolling two dice

Answer:

80% of the fish in the school pond are goldfish.

Step-by-step explanation:

To find the percentage of goldfish in the pond, we need to divide the number of goldfish by the total number of fish and multiply by 100.

percent of goldfish = (number of goldfish / total number of fish) x 100%

So, in this case:

percent of goldfish = (296 / 370) x 100%

percent of goldfish = 0.8 x 100%

percent of goldfish = 80%

The ratio of corresponding sides for the given similar triangles is 2/5.

In the given options, the ratio of corresponding sides is provided for each set of similar triangles. Let's analyze each option to determine the correct ratio:

a. 10

This option only provides a single number and does not specify the ratio of corresponding sides. Therefore, it is not the correct answer.

b. 4/5

This option provides the ratio 4/5 for the corresponding sides of the similar triangles. However, the ratio can be simplified further.

To simplify the ratio, we divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 4 and 5 is 1.

Dividing 4 and 5 by 1, we get:

4 ÷ 1 = 4

5 ÷ 1 = 5

Therefore, the simplified ratio is 4/5.

c. 10/85

This option provides the ratio 10/85 for the corresponding sides of the similar triangles. However, this ratio cannot be simplified further, as 10 and 85 do not have a common factor other than 1.

Therefore, the correct ratio of corresponding sides for the given similar triangles is 2/5, as determined in option b.

For more such questions on triangles, click on:

https://brainly.com/question/17335144

#SPJ8

If f is a function whose domain is all real numbers except 2 and whose derivative is f′(x) = x + 4/ x − 2, the intervals on which the function f is increasing are (-∞, -4) and (2, ∞)

To find the intervals on which the function f is increasing, follow these steps:

Hence, the intervals on which the function f is increasing are (-∞, -4) and (2, ∞).

Learn more about function:

brainly.com/question/11624077

#SPJ11